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Solving integrals/ 2xy

Integral of 2xy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  2*x*y dx
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∫012xy dx\int\limits_{0}^{1} 2 x y\, dx
Simplify
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫2xy dx=2y∫x dx\int 2 x y\, dx = 2 y \int x\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: x2yx^{2} y

  2. Add the constant of integration:

    x2y+constantx^{2} y+ \mathrm{constant}

The answer is:

x2y+constantx^{2} y+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 2*x*y dx = C + y*x 
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x2 yx^2\,y
Simplify
The answer [src] 
y
yy 
=
= 
y
yy
Simplify

    Use the examples entering the upper and lower limits of integration.

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